A Note on the Maximum Principle for Second-Order Elliptic Equations in General Domains

被引：0

作者：

Antonio VITOLO ^{[1
]}

机构：

[1] Department of Mathematics and Informatics,University of Salerno P.Grahamstown,84084 Fisciano(Salerno),Italy

来源：

ActaMathematicaSinica(EnglishSeries) | 2007年 / 23卷 / 11期

关键词：

elliptic equations; ABP estimate; maximum principle;

D O I：

暂无

中图分类号：

O175.25 [椭圆型方程];

学科分类号：

摘要：

We make a further advance concerning the maximum principle for second-order ellipticoperators.We investigate in particular a geometric condition,first considered by Berestycki-Nirenberg-Varadhan,that seems to be natural in view of the application of the boundary weak Harnack inequality,on which our argument is based.Setting it free from some technical assumptions,apparently needed inearlier papers,we significantly enlarge the class of unbounded domains where the maximum principleholds,compatibly with the first-order term.

引用

页码：1955 / 1966

页数：12

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